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Finding the Fourth Proportional to 274,691.06, 412,100.49 and 85,141.37

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Solution

The fourth proportional to 274,691.06, 412,100.49 and 85,141.37 is: 127,731.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,691.06 : 412,100.49 = 85,141.37 : x
  2. Step 2: Convert to fraction form
    274,691.06/412,100.49 = 85,141.37/x
  3. Step 3: Cross multiply
    274,691.06x = 412,100.49 × 85,141.37
  4. Step 4: Simplify right side
    274,691.06x = 35,086,801,645.80
  5. Step 5: Solve for x
    x = 35,086,801,645.80/274,691.06
  6. Step 6: Final answer
    x = 127,731.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.